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Finding the Third Proportional to 34,029 and 52,572.38

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Solution

The third proportional to 34,029 and 52,572.38 is: 81,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029 : 52,572.38 = 52,572.38 : x
  2. Step 2: Convert to fraction form
    34,029/52,572.38 = 52,572.38/x
  3. Step 3: Cross multiply
    34,029x = 52,572.38 × 52,572.38
  4. Step 4: Simplify right side
    34,029x = 2,763,854,613.14
  5. Step 5: Solve for x
    x = 2,763,854,613.14/34,029
  6. Step 6: Final answer
    x = 81,220.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.